560404000 has 144 divisors (see below), whose sum is σ = 1492774920. Its totient is φ = 206668800.

The previous prime is 560403971. The next prime is 560404021. The reversal of 560404000 is 404065.

It can be written as a sum of positive squares in 12 ways, for example, as 160883856 + 399520144 = 12684^2 + 19988^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675586 + ... + 676414.

Almost surely, 2^560404000 is an apocalyptic number.

560404000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746387460).

560404000 is an abundant number, since it is smaller than the sum of its proper divisors (932370920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

560404000 is a wasteful number, since it uses less digits than its factorization.

560404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 560404000 is about 23672.8536513873. The cubic root of 560404000 is about 824.4552265128.

Adding to 560404000 its reverse (404065), we get a palindrome (560808065).

The spelling of 560404000 in words is "five hundred sixty million, four hundred four thousand".